What is expand (1+tan(x))tan(2x) ?

The solution to expand (1+tan(x))tan(2x) is tan(2x)+tan(2x)tan(x)

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expand (1+tan(x))tan(2x)

expand

(1 + tan (x)) tan (2 x)

tan (2 x) + tan (2 x) tan (x)

Solution steps

(1 + tan (x)) tan (2 x)

= tan (2 x) (1 + tan (x))

Apply the distributive law:

a (b + c) = ab + a c

tan (2 x) (1 + tan (x)) = tan (2 x) \cdot 1 + tan (2 x) tan (x)

= tan (2 x) \cdot 1 + tan (2 x) tan (x)

Apply rule:

a \cdot 1 = a

tan (2 x) \cdot 1 = tan (2 x)

= tan (2 x) + tan (2 x) tan (x)

(e + 3) (e - 5)

(5 - x) (x - \frac{x}{2})

(5 a + b) (5 a - b)

(x - \frac{1}{2}) (x - \frac{1}{3})

(2 x + 2) l e f t (3 x - 1)

What is expand (1+tan(x))tan(2x) ?
The solution to expand (1+tan(x))tan(2x) is tan(2x)+tan(2x)tan(x)